Turbulent Natural Convection of Heat with Localized Heating and Cooling on Adjacent Vertical Walls in an Enclosure

In this work, we considered natural convection in a three dimensional rectangular enclosure in the form of a room with the heater placed on the floor and two windows each on the vertical adjacent walls. A fluid motion of the Boussinesq fluid in the three dimensional cavity has been considered. To enable the analysis of the flow and heat transfer rates, a set of non-dimensional equations governing a Newtonian fluid were used. The governing equations with the boundary conditions were described using three-point central and forward difference approximations for non-uniform mesh. The resulting finite difference equations were then solved using numerical methods. The solutions were presented at Reynolds number, Re=5, 500 and Prandtl number, Pr=0.71. The results were presented in graphical form and discussed. The results show that the region in the middle of the room is warm and near the window is relatively cold.